A shopkeeper sold an article offering discount of $5 \%$ and earn a profit of $23.5 \% .$ What would have been the percentage of profit earned if no discount has been offered?

An article is sold at a profit of $20 \%$. If both the cost price and selling price are $RS.\, 150$ less, profit would be $5 \%$ more. Find the cost price.

A trader mixes $26\, kg$ of rice at $Rs$. $20$ per $kg$ with $30\, kg$ of rice of other variety at $Rs.\, 36$ per $kg$ and sells the mixture at $Rs.\, 30$ per $kg.$ His profit percent is

A cloth merchant says that due to slump in the market, he sells cloth at $10 \%$ loss, but he uses a inaccurate metre scale and actually gains $15 \%$. Find out the actual length of the scale. (in $cm$)

The cost price of an article is $64 \%$ of the marked price. The gain percentage after allowing a discount of $12 \%$ on the marked price is........$\%$

Mohit lost $18 \%$ by selling a bicycle for $Rs.\, 1230$. What percent shall he gain or loss by selling it for $Rs.\, 1600 ?$